By John C. Baez (auth.), Eugenio Moggi, Giuseppe Rosolini (eds.)
This booklet constitutes the refereed complaints of the seventh foreign convention on type conception and laptop technological know-how, CTCS'97, held in Santa Margheria Ligure, Italy, in September 1997.
Category thought draws curiosity within the theoretical computing device technological know-how neighborhood due to its skill to set up connections among diversified components in laptop technological know-how and arithmetic and to supply a couple of common rules for organizing mathematical theories. This publication provides a range of 15 revised complete papers including 3 invited contributions. the subjects addressed comprise reasoning ideas for forms, rewriting, software semantics, and structuring of logical systems.
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Extra info for Category Theory and Computer Science: 7th International Conference, CTCS '97 Santa Margherita Ligure Italy, September 4–6, 1997 Proceedings
International Series in Computing Science. Prentice Hall, 1996. 3. R. S. Bird, P. F. Hoogendijk~ and O. De Moor. Generic programming with relations and functors. Journal of Functional Programming, 6(1):1-28, 1996. 4. H. Connelly and F. Lockwood Morris. A generalisation of the trie data structure. Mathematical Structures in Computer Science, 5(3):381-418, 1995. 5. S. Curtis. A relational approach to optimization problems. Phil. thesis, Computing Laboratory, Oxford, UK, 1996. 6. O. de Moor. Categories, Relations and Dynamic Programming.
Springer-Verlag, 1986. 15. L. Meertens. Calculate polytypically! In PLILP Conference, Lecture Notes in Computer Science. Springer-Verlag, 1996. 16. E. Meijer. Calculating Compilers. D thesis, University of Nijmegen, The Netherlands, 1992. 17. C. Okasaki. Purely Functional Data Structures. D thesis, School of Computer Science, Carnegie Mellon University, 1996. B. O. Box 123, Broadway NSW 2007, Australia. email: cbj~socs, uts. edu. uts. edu. au/'cbj Shape theory [Jay95] gives a precise categoricalaccount of how data is stored within data structures,or shapes.
Hence noldom G C notdom T . T * = lim T and notdom G . (tim T ) ° C_ notdom T . (tim T) ° = (lira T . notdom T) ° = notdom T CR. e. id C tt. Inclusion (8) holds because G C_ T and so lim T . G C lim T T C lim T. 44 Finally, (9) holds under the assumption that G . (lira T ) ° C_ (lira T ) ° . R because then we obtain R/(lim T) °. G. (lira T) ° C_ R/(lim T) °. (lim T) °. R C R. e. /~ • R C_ R. One could go on in a similar vein, constructing yet more stronger conditions that imply (1). The two we have at the moment, are that dora G = dora S (in words, a greedy step is possible when any step is), and that G .